34364436100 has 72 divisors (see below), whose sum is σ = 76146329448. Its totient is φ = 13458124800.

The previous prime is 34364435993. The next prime is 34364436109. The reversal of 34364436100 is 163446343.

It can be written as a sum of positive squares in 12 ways, for example, as 2652662016 + 31711774084 = 51504^2 + 178078^2 .

It is not an unprimeable number, because it can be changed into a prime (34364436109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982920 + ... + 1017280.

It is an arithmetic number, because the mean of its divisors is an integer number (1057587909).

Almost surely, 2^34364436100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38073164724).

34364436100 is an abundant number, since it is smaller than the sum of its proper divisors (41781893348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34364436100 is a wasteful number, since it uses less digits than its factorization.

34364436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34585 (or 34578 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 34364436100 in words is "thirty-four billion, three hundred sixty-four million, four hundred thirty-six thousand, one hundred".